How do you factor #49x^6 – 100y² #?

1 Answer
May 17, 2016

Answer:

#(7x^3-10y)(7x^3+10y)#

Explanation:

This expression is a #color(blue)" difference of squares"#

and In general factors as follows:

#color(red)(|bar(ul(color(white)(a/a)color(black)(a^2-b^2=(a-b)(a+b))color(white)(a/a)|)))#

now #49x^6=(7x^3)^2" and " 100y^2=(10y)^2#

#rArr49x^6-100y^2=(7x^3)^2-(10y)^2=(7x^3-10y)(7x^3+10y)#